Solve the equation by using the square root property. Express any complex numbers using i notation.
-$$( 3 x + 5 ) ^ { 2 } = 7$$
A) $x = - 4 , \frac { 2 } { 3 }$
B) $x = \frac { - 5 \pm \sqrt { 7 } } { 3 }$
C) $x = \frac { 5 \pm \sqrt { 7 } } { 3 }$
D) $x = \frac { \sqrt { 7 } \pm 5 } { 3 }$

Question

Quizplus · Accepted Answer

First, take the square root of both sides to get $3x + 5 = \pm\sqrt{7}$. Then, solve for $x$ by subtracting 5 from both sides and dividing by 3, resulting in $x = \frac{-5 \pm \sqrt{7}}{3}$.

Solve the Equation by Using the Square Root Property (3x+5)2=7( 3 x + 5 ) ^ { 2 } = 7(3x+5)2=7

Solve the Equation by Using the Square Root Property $( 3 x + 5 ) ^ { 2 } = 7$